Finding the Third Proportional to 37,252 and 78,644

Step by Step Solution

1. Step 1: Write the proportion equation
   37,252 : 78,644 = 78,644 : x
2. Step 2: Convert to fraction form
   37,252/78,644 = 78,644/x
3. Step 3: Cross multiply
   37,252x = 78,644 × 78,644
4. Step 4: Simplify right side
   37,252x = 6,184,878,736
5. Step 5: Solve for x
   x = 6,184,878,736/37,252
6. Step 6: Final answer
   x = 166,028.10